Expressions 1-4

Expressions 1-4

For Persevering Durham Fifth Graders

Your objective is to compare fractions using a variety of strategies

• Vocabulary we will use today:

• greater than  $>$  

• less than  $<$  

• unit fraction ex. 1/4 , 1/8, 1/13

What do you remember about comparing numbers like these?

Comparing Numbers

Yes, we use the inequality symbols > (is greater than) and < (is less than to compare numbers. We will use the same symbols today when comparing fractions.

Compare these two fractions

3/5 and 4/5

How do you determin which fraction is greater?

Comparing Fractions with the same denominator

If two fractions have the same denominator, they are made from unit fractions of the same size. The fraction with more unit fractions is greater. Let's practice.

Multiple Choice

Compare 5/8 and 6/8. Which one is larger?

• 5/8

• 6/8

Multiple Choice

Compare 2/10 and 1/10. Which one is larger?

• 2/10

• 1/10

Multiple Choice

Compare 5/7 and 6/7. Which one is larger?

• 5/7

• 6/7

Comparing fractions with the same numerator

• If two fractions have the same numerator, then the number of unit fractions is the same. The fraction with the larger unit fraction is greater. Let's practice.

Multiple Choice

Compare 4/9 and 4/7. Which one is larger?

• 4/9

• 4/7

Multiple Choice

Compare 1/5 and 1/3 . Which one is larger?

• 1/5

• 1/3

Multiple Choice

Compare 3/7 and 3/8. Which one is larger?

• 3/7

• 3/8

Unlike denominators

If two fractions have different denominators, you can compare them by first rewriting them as equivalent fractions with a common denominator. You can use different strategies.

Multiple Choice

Let's compare 5/8 and 3/5. Multiply the denominators to get a common denominator and write equivalent fractions with that common denominator. Which one is larger?

• 5/8

• 3/5

Multiple Choice

Let's compare 1/5 and 3/20 by looking at the denominators and seeing if one denominator is a factor of another and writing equivalent fractions with the same denominator.

• 1/5

• 3/20

Multiple Choice

Which fraction is greater?3/4 or 6/8?

• 3/4

• 6/8

• They are equivalent

Multiple Choice

Which is less?

• 5/8

• 5/6

Multiple Choice

Which is greater?

• 2/4

• 2/6

Multiple Choice

Which is less?

• 4/8

• 4/10

Multiple Choice

Which is less?

• 6/8

• 3/8

Multiple Choice

Which is greater?

• 3/4

• 3/6

Multiple Choice

Compare 4/15 and 3/10

• <

• >

• =

Multiple Choice

Use <, >, = to correctly complete the equation.

• >

• <

• =

Multiple Choice

Use <, >, = to correctly complete the equation.

• <

• >

• =

Multiple Choice

Compare 7/8 and 5/9

• 7/8 > 5/9

• 7/8 < 5/9

• 7/8 = 5/9

Multiple Choice

3/6 ___ 8/12

• >
• <
• =